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Cylindrical paraxial optical beams described by the incomplete gamma function
Physical Review A, 2021T. Radożycki
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Inequalities for the Incomplete Gamma and Related Functions
Mathematical Inequalities & Applications, 1999The authors offer lower and upper estimates for \(\int_{0}^{x}e^{t^{p}}dt\) and for the similar function with \(-t^{p}\) in the exponent, furthermore examples showing that these are not comparable to those found by \textit{H. Alzer} (Math.Comp. 66, 771-778 (1997; Zbl 0865.33002).
Qi, Feng, Guo, Sen-Lin
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Some bounds for incomplete gamma function
Rendiconti del Circolo Matematico di Palermo, 1994Take for the incomplete gamma function with parameter \(a\) the alternating series [see, e.g., \textit{M. Abramowitz} and \textit{I. A. Stegun}, Handbook of mathematical functions with formulas, graphs, and mathematical tables. (1964; Zbl 0171.385), p.
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An algorithm for the evaluation of the incomplete gamma function
Advances in Computational Mathematics, 2019P. Greengard, V. Rokhlin
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CLT, LDP and incomplete gamma functions
2019Given a series of identically distributed random variables X?, X?, ..., X? with mean ? and variance ? , the CLT(Central Limit Theorem) can provide a good approximation of the probability ?(|X?? ? ?|) > x for x which is not too big compared to ???n. Although the CLT always works perfectly around the ?center?
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A kilonova following a long-duration gamma-ray burst at 350 Mpc
Nature, 2022Jillian Rastinejad +2 more
exaly
ON THE INCOMPLETE GAMMA FUNCTION AND ITS NEUTRIX CONVOLUTION FOR NEGATIVE INTEGERS
Eurasian Mathematical Journal, 2019Mongkolsery Lin +2 more
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New bounds for the function involving incomplete gamma function
, 2019Ling Zhu
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